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Finding the Fourth Proportional to 4,385.90, 6,048.06 and 3,440

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Solution

The fourth proportional to 4,385.90, 6,048.06 and 3,440 is: 4,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,385.90 : 6,048.06 = 3,440 : x
  2. Step 2: Convert to fraction form
    4,385.90/6,048.06 = 3,440/x
  3. Step 3: Cross multiply
    4,385.90x = 6,048.06 × 3,440
  4. Step 4: Simplify right side
    4,385.90x = 20,805,326.40
  5. Step 5: Solve for x
    x = 20,805,326.40/4,385.90
  6. Step 6: Final answer
    x = 4,743.68

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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.