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Finding the Fourth Proportional to 5,314.94, 7,334.95 and 3,077.53

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Solution

The fourth proportional to 5,314.94, 7,334.95 and 3,077.53 is: 4,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.94 : 7,334.95 = 3,077.53 : x
  2. Step 2: Convert to fraction form
    5,314.94/7,334.95 = 3,077.53/x
  3. Step 3: Cross multiply
    5,314.94x = 7,334.95 × 3,077.53
  4. Step 4: Simplify right side
    5,314.94x = 22,573,528.67
  5. Step 5: Solve for x
    x = 22,573,528.67/5,314.94
  6. Step 6: Final answer
    x = 4,247.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.