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Finding the Fourth Proportional to 3,495.70, 5,242.50 and 1,030.46

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Solution

The fourth proportional to 3,495.70, 5,242.50 and 1,030.46 is: 1,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,495.70 : 5,242.50 = 1,030.46 : x
  2. Step 2: Convert to fraction form
    3,495.70/5,242.50 = 1,030.46/x
  3. Step 3: Cross multiply
    3,495.70x = 5,242.50 × 1,030.46
  4. Step 4: Simplify right side
    3,495.70x = 5,402,186.55
  5. Step 5: Solve for x
    x = 5,402,186.55/3,495.70
  6. Step 6: Final answer
    x = 1,545.38

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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.