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Finding the Fourth Proportional to 4,341.02, 6,509.93 and 1,566.95

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Solution

The fourth proportional to 4,341.02, 6,509.93 and 1,566.95 is: 2,349.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,341.02 : 6,509.93 = 1,566.95 : x
  2. Step 2: Convert to fraction form
    4,341.02/6,509.93 = 1,566.95/x
  3. Step 3: Cross multiply
    4,341.02x = 6,509.93 × 1,566.95
  4. Step 4: Simplify right side
    4,341.02x = 10,200,694.43
  5. Step 5: Solve for x
    x = 10,200,694.43/4,341.02
  6. Step 6: Final answer
    x = 2,349.84

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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.