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Finding the Fourth Proportional to 4,547.69, 6,275.42 and 2,557.98

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Solution

The fourth proportional to 4,547.69, 6,275.42 and 2,557.98 is: 3,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.69 : 6,275.42 = 2,557.98 : x
  2. Step 2: Convert to fraction form
    4,547.69/6,275.42 = 2,557.98/x
  3. Step 3: Cross multiply
    4,547.69x = 6,275.42 × 2,557.98
  4. Step 4: Simplify right side
    4,547.69x = 16,052,410.04
  5. Step 5: Solve for x
    x = 16,052,410.04/4,547.69
  6. Step 6: Final answer
    x = 3,529.79

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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.