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Finding the Fourth Proportional to 5,281.70, 7,941.53 and 4,870.26

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Solution

The fourth proportional to 5,281.70, 7,941.53 and 4,870.26 is: 7,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.70 : 7,941.53 = 4,870.26 : x
  2. Step 2: Convert to fraction form
    5,281.70/7,941.53 = 4,870.26/x
  3. Step 3: Cross multiply
    5,281.70x = 7,941.53 × 4,870.26
  4. Step 4: Simplify right side
    5,281.70x = 38,677,328.07
  5. Step 5: Solve for x
    x = 38,677,328.07/5,281.70
  6. Step 6: Final answer
    x = 7,322.90

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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.