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Finding the Fourth Proportional to 5,058.77, 7,586.22 and 1,547.70

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Solution

The fourth proportional to 5,058.77, 7,586.22 and 1,547.70 is: 2,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.77 : 7,586.22 = 1,547.70 : x
  2. Step 2: Convert to fraction form
    5,058.77/7,586.22 = 1,547.70/x
  3. Step 3: Cross multiply
    5,058.77x = 7,586.22 × 1,547.70
  4. Step 4: Simplify right side
    5,058.77x = 11,741,192.69
  5. Step 5: Solve for x
    x = 11,741,192.69/5,058.77
  6. Step 6: Final answer
    x = 2,320.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.