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Finding the Fourth Proportional to 4,547.32, 6,275.81 and 2,557.82

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Solution

The fourth proportional to 4,547.32, 6,275.81 and 2,557.82 is: 3,530.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.32 : 6,275.81 = 2,557.82 : x
  2. Step 2: Convert to fraction form
    4,547.32/6,275.81 = 2,557.82/x
  3. Step 3: Cross multiply
    4,547.32x = 6,275.81 × 2,557.82
  4. Step 4: Simplify right side
    4,547.32x = 16,052,392.33
  5. Step 5: Solve for x
    x = 16,052,392.33/4,547.32
  6. Step 6: Final answer
    x = 3,530.08

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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.