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Finding the Fourth Proportional to 5,366.58, 8,051.55 and 2,407.50

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Solution

The fourth proportional to 5,366.58, 8,051.55 and 2,407.50 is: 3,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.58 : 8,051.55 = 2,407.50 : x
  2. Step 2: Convert to fraction form
    5,366.58/8,051.55 = 2,407.50/x
  3. Step 3: Cross multiply
    5,366.58x = 8,051.55 × 2,407.50
  4. Step 4: Simplify right side
    5,366.58x = 19,384,106.63
  5. Step 5: Solve for x
    x = 19,384,106.63/5,366.58
  6. Step 6: Final answer
    x = 3,612.00

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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.