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Finding the Fourth Proportional to 5,970.35, 8,955.60 and 1,587.78

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Solution

The fourth proportional to 5,970.35, 8,955.60 and 1,587.78 is: 2,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.35 : 8,955.60 = 1,587.78 : x
  2. Step 2: Convert to fraction form
    5,970.35/8,955.60 = 1,587.78/x
  3. Step 3: Cross multiply
    5,970.35x = 8,955.60 × 1,587.78
  4. Step 4: Simplify right side
    5,970.35x = 14,219,522.57
  5. Step 5: Solve for x
    x = 14,219,522.57/5,970.35
  6. Step 6: Final answer
    x = 2,381.69

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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.