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Finding the Fourth Proportional to 4,869.16, 7,283.58 and 3,897.16

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Solution

The fourth proportional to 4,869.16, 7,283.58 and 3,897.16 is: 5,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869.16 : 7,283.58 = 3,897.16 : x
  2. Step 2: Convert to fraction form
    4,869.16/7,283.58 = 3,897.16/x
  3. Step 3: Cross multiply
    4,869.16x = 7,283.58 × 3,897.16
  4. Step 4: Simplify right side
    4,869.16x = 28,385,276.63
  5. Step 5: Solve for x
    x = 28,385,276.63/4,869.16
  6. Step 6: Final answer
    x = 5,829.60

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1.5x scale

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.