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Finding the Fourth Proportional to 3,526.65, 4,866.76 and 1,954.74

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Solution

The fourth proportional to 3,526.65, 4,866.76 and 1,954.74 is: 2,697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.65 : 4,866.76 = 1,954.74 : x
  2. Step 2: Convert to fraction form
    3,526.65/4,866.76 = 1,954.74/x
  3. Step 3: Cross multiply
    3,526.65x = 4,866.76 × 1,954.74
  4. Step 4: Simplify right side
    3,526.65x = 9,513,271.14
  5. Step 5: Solve for x
    x = 9,513,271.14/3,526.65
  6. Step 6: Final answer
    x = 2,697.54

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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.