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Finding the Fourth Proportional to 4,547.46, 6,274.71 and 2,557.86

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Solution

The fourth proportional to 4,547.46, 6,274.71 and 2,557.86 is: 3,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.46 : 6,274.71 = 2,557.86 : x
  2. Step 2: Convert to fraction form
    4,547.46/6,274.71 = 2,557.86/x
  3. Step 3: Cross multiply
    4,547.46x = 6,274.71 × 2,557.86
  4. Step 4: Simplify right side
    4,547.46x = 16,049,829.72
  5. Step 5: Solve for x
    x = 16,049,829.72/4,547.46
  6. Step 6: Final answer
    x = 3,529.41

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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.