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Finding the Fourth Proportional to 5,303.80, 7,958.76 and 2,840.00

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Solution

The fourth proportional to 5,303.80, 7,958.76 and 2,840.00 is: 4,261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.80 : 7,958.76 = 2,840.00 : x
  2. Step 2: Convert to fraction form
    5,303.80/7,958.76 = 2,840.00/x
  3. Step 3: Cross multiply
    5,303.80x = 7,958.76 × 2,840.00
  4. Step 4: Simplify right side
    5,303.80x = 22,602,838.61
  5. Step 5: Solve for x
    x = 22,602,838.61/5,303.80
  6. Step 6: Final answer
    x = 4,261.63

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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.