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Finding the Fourth Proportional to 3,460.01, 5,188.20 and 1,509.94

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Solution

The fourth proportional to 3,460.01, 5,188.20 and 1,509.94 is: 2,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.01 : 5,188.20 = 1,509.94 : x
  2. Step 2: Convert to fraction form
    3,460.01/5,188.20 = 1,509.94/x
  3. Step 3: Cross multiply
    3,460.01x = 5,188.20 × 1,509.94
  4. Step 4: Simplify right side
    3,460.01x = 7,833,870.71
  5. Step 5: Solve for x
    x = 7,833,870.71/3,460.01
  6. Step 6: Final answer
    x = 2,264.12

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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.