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Finding the Fourth Proportional to 6,461.80, 8,897.54 and 4,870.76

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Solution

The fourth proportional to 6,461.80, 8,897.54 and 4,870.76 is: 6,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.80 : 8,897.54 = 4,870.76 : x
  2. Step 2: Convert to fraction form
    6,461.80/8,897.54 = 4,870.76/x
  3. Step 3: Cross multiply
    6,461.80x = 8,897.54 × 4,870.76
  4. Step 4: Simplify right side
    6,461.80x = 43,337,781.93
  5. Step 5: Solve for x
    x = 43,337,781.93/6,461.80
  6. Step 6: Final answer
    x = 6,706.77

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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.