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Finding the Fourth Proportional to 4,652.13, 6,973.95 and 1,530.18

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Solution

The fourth proportional to 4,652.13, 6,973.95 and 1,530.18 is: 2,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.13 : 6,973.95 = 1,530.18 : x
  2. Step 2: Convert to fraction form
    4,652.13/6,973.95 = 1,530.18/x
  3. Step 3: Cross multiply
    4,652.13x = 6,973.95 × 1,530.18
  4. Step 4: Simplify right side
    4,652.13x = 10,671,398.81
  5. Step 5: Solve for x
    x = 10,671,398.81/4,652.13
  6. Step 6: Final answer
    x = 2,293.87

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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.