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Finding the Fourth Proportional to 5,875.86, 8,802.03 and 3,534.57

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Solution

The fourth proportional to 5,875.86, 8,802.03 and 3,534.57 is: 5,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875.86 : 8,802.03 = 3,534.57 : x
  2. Step 2: Convert to fraction form
    5,875.86/8,802.03 = 3,534.57/x
  3. Step 3: Cross multiply
    5,875.86x = 8,802.03 × 3,534.57
  4. Step 4: Simplify right side
    5,875.86x = 31,111,347.17
  5. Step 5: Solve for x
    x = 31,111,347.17/5,875.86
  6. Step 6: Final answer
    x = 5,294.78

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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.