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Finding the Fourth Proportional to 2,547.86, 3,516.06 and 1,486.35

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Solution

The fourth proportional to 2,547.86, 3,516.06 and 1,486.35 is: 2,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.86 : 3,516.06 = 1,486.35 : x
  2. Step 2: Convert to fraction form
    2,547.86/3,516.06 = 1,486.35/x
  3. Step 3: Cross multiply
    2,547.86x = 3,516.06 × 1,486.35
  4. Step 4: Simplify right side
    2,547.86x = 5,226,095.78
  5. Step 5: Solve for x
    x = 5,226,095.78/2,547.86
  6. Step 6: Final answer
    x = 2,051.17

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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.