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Finding the Fourth Proportional to 5,455.52, 8,184.64 and 1,560

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Solution

The fourth proportional to 5,455.52, 8,184.64 and 1,560 is: 2,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.52 : 8,184.64 = 1,560 : x
  2. Step 2: Convert to fraction form
    5,455.52/8,184.64 = 1,560/x
  3. Step 3: Cross multiply
    5,455.52x = 8,184.64 × 1,560
  4. Step 4: Simplify right side
    5,455.52x = 12,768,038.40
  5. Step 5: Solve for x
    x = 12,768,038.40/5,455.52
  6. Step 6: Final answer
    x = 2,340.39

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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.