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Finding the Fourth Proportional to 4,340.76, 6,509.40 and 1,566.45

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Solution

The fourth proportional to 4,340.76, 6,509.40 and 1,566.45 is: 2,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,340.76 : 6,509.40 = 1,566.45 : x
  2. Step 2: Convert to fraction form
    4,340.76/6,509.40 = 1,566.45/x
  3. Step 3: Cross multiply
    4,340.76x = 6,509.40 × 1,566.45
  4. Step 4: Simplify right side
    4,340.76x = 10,196,649.63
  5. Step 5: Solve for x
    x = 10,196,649.63/4,340.76
  6. Step 6: Final answer
    x = 2,349.05

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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.