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Finding the Fourth Proportional to 5,058.45, 7,586.72 and 1,547.50

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Solution

The fourth proportional to 5,058.45, 7,586.72 and 1,547.50 is: 2,320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,058.45 : 7,586.72 = 1,547.50 : x
  2. Step 2: Convert to fraction form
    5,058.45/7,586.72 = 1,547.50/x
  3. Step 3: Cross multiply
    5,058.45x = 7,586.72 × 1,547.50
  4. Step 4: Simplify right side
    5,058.45x = 11,740,441.46
  5. Step 5: Solve for x
    x = 11,740,441.46/5,058.45
  6. Step 6: Final answer
    x = 2,320.96

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Why These Related Problems?

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