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Finding the Fourth Proportional to 5,798.77, 8,681.59 and 5,430.95

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Solution

The fourth proportional to 5,798.77, 8,681.59 and 5,430.95 is: 8,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.77 : 8,681.59 = 5,430.95 : x
  2. Step 2: Convert to fraction form
    5,798.77/8,681.59 = 5,430.95/x
  3. Step 3: Cross multiply
    5,798.77x = 8,681.59 × 5,430.95
  4. Step 4: Simplify right side
    5,798.77x = 47,149,281.21
  5. Step 5: Solve for x
    x = 47,149,281.21/5,798.77
  6. Step 6: Final answer
    x = 8,130.91

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1.5x scale

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.