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Finding the Fourth Proportional to 4,665.60, 6,434.64 and 3,489.48

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Solution

The fourth proportional to 4,665.60, 6,434.64 and 3,489.48 is: 4,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.60 : 6,434.64 = 3,489.48 : x
  2. Step 2: Convert to fraction form
    4,665.60/6,434.64 = 3,489.48/x
  3. Step 3: Cross multiply
    4,665.60x = 6,434.64 × 3,489.48
  4. Step 4: Simplify right side
    4,665.60x = 22,453,547.59
  5. Step 5: Solve for x
    x = 22,453,547.59/4,665.60
  6. Step 6: Final answer
    x = 4,812.57

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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.