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Finding the Fourth Proportional to 4,646.52, 6,409.28 and 2,756.76

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Solution

The fourth proportional to 4,646.52, 6,409.28 and 2,756.76 is: 3,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.52 : 6,409.28 = 2,756.76 : x
  2. Step 2: Convert to fraction form
    4,646.52/6,409.28 = 2,756.76/x
  3. Step 3: Cross multiply
    4,646.52x = 6,409.28 × 2,756.76
  4. Step 4: Simplify right side
    4,646.52x = 17,668,848.97
  5. Step 5: Solve for x
    x = 17,668,848.97/4,646.52
  6. Step 6: Final answer
    x = 3,802.60

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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.