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Finding the Fourth Proportional to 4,547.88, 6,276.48 and 2,558.94

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Solution

The fourth proportional to 4,547.88, 6,276.48 and 2,558.94 is: 3,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.88 : 6,276.48 = 2,558.94 : x
  2. Step 2: Convert to fraction form
    4,547.88/6,276.48 = 2,558.94/x
  3. Step 3: Cross multiply
    4,547.88x = 6,276.48 × 2,558.94
  4. Step 4: Simplify right side
    4,547.88x = 16,061,135.73
  5. Step 5: Solve for x
    x = 16,061,135.73/4,547.88
  6. Step 6: Final answer
    x = 3,531.57

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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.