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Finding the Fourth Proportional to 4,660.14, 7,025.93 and 4,342.92

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Solution

The fourth proportional to 4,660.14, 7,025.93 and 4,342.92 is: 6,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.14 : 7,025.93 = 4,342.92 : x
  2. Step 2: Convert to fraction form
    4,660.14/7,025.93 = 4,342.92/x
  3. Step 3: Cross multiply
    4,660.14x = 7,025.93 × 4,342.92
  4. Step 4: Simplify right side
    4,660.14x = 30,513,030.20
  5. Step 5: Solve for x
    x = 30,513,030.20/4,660.14
  6. Step 6: Final answer
    x = 6,547.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.