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Finding the Fourth Proportional to 4,705, 6,492.76 and 2,580.49

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Solution

The fourth proportional to 4,705, 6,492.76 and 2,580.49 is: 3,561.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705 : 6,492.76 = 2,580.49 : x
  2. Step 2: Convert to fraction form
    4,705/6,492.76 = 2,580.49/x
  3. Step 3: Cross multiply
    4,705x = 6,492.76 × 2,580.49
  4. Step 4: Simplify right side
    4,705x = 16,754,502.25
  5. Step 5: Solve for x
    x = 16,754,502.25/4,705
  6. Step 6: Final answer
    x = 3,561.00

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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.