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Finding the Fourth Proportional to 5,038.42, 7,506.98 and 4,755.47

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Solution

The fourth proportional to 5,038.42, 7,506.98 and 4,755.47 is: 7,085.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.42 : 7,506.98 = 4,755.47 : x
  2. Step 2: Convert to fraction form
    5,038.42/7,506.98 = 4,755.47/x
  3. Step 3: Cross multiply
    5,038.42x = 7,506.98 × 4,755.47
  4. Step 4: Simplify right side
    5,038.42x = 35,699,248.84
  5. Step 5: Solve for x
    x = 35,699,248.84/5,038.42
  6. Step 6: Final answer
    x = 7,085.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.