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Finding the Fourth Proportional to 4,972.95, 7,461.05 and 1,854.63

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Solution

The fourth proportional to 4,972.95, 7,461.05 and 1,854.63 is: 2,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.95 : 7,461.05 = 1,854.63 : x
  2. Step 2: Convert to fraction form
    4,972.95/7,461.05 = 1,854.63/x
  3. Step 3: Cross multiply
    4,972.95x = 7,461.05 × 1,854.63
  4. Step 4: Simplify right side
    4,972.95x = 13,837,477.89
  5. Step 5: Solve for x
    x = 13,837,477.89/4,972.95
  6. Step 6: Final answer
    x = 2,782.55

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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.