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Finding the Fourth Proportional to 5,668,511.76, 7,820,077.07 and 3,602,420.05

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Solution

The fourth proportional to 5,668,511.76, 7,820,077.07 and 3,602,420.05 is: 4,969,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668,511.76 : 7,820,077.07 = 3,602,420.05 : x
  2. Step 2: Convert to fraction form
    5,668,511.76/7,820,077.07 = 3,602,420.05/x
  3. Step 3: Cross multiply
    5,668,511.76x = 7,820,077.07 × 3,602,420.05
  4. Step 4: Simplify right side
    5,668,511.76x = 28,171,202,429,513.25
  5. Step 5: Solve for x
    x = 28,171,202,429,513.25/5,668,511.76
  6. Step 6: Final answer
    x = 4,969,770.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.